Cuthbert chords
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-08-06 19:43:11 UTC.
- The original revision id was 244647213.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //cuthbert triad// is an [[dyadic chord|essentially tempered dyadic triad]] which consists of two 13/11 thirds making up a 7/5, which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the garibert tetrad, which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-6/5, leading to a garibert tempering of 1-13/11-7/5-5/3. Equal temperaments with cuthbert triads include 29, 33, 37, 41, 46, 50, 53, 58, 70, 87, 94, 99, 103, 111, 128, 140, 149, 177, 190, 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of 13-limit [[Schismatic family#Garibaldi|garibaldi temperament]].Original HTML content:
<html><head><title>cuthbert triad</title></head><body>The <em>cuthbert triad</em> is an <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic triad</a> which consists of two 13/11 thirds making up a 7/5, which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of 1-13/11-7/5. The cuthbert triad can be extended to the garibert tetrad, which is the {275/273, 847/845} garibert tempering of a tetrad with steps of size 13/11-13/11-13/11-6/5, leading to a garibert tempering of 1-13/11-7/5-5/3. Equal temperaments with cuthbert triads include 29, 33, 37, 41, 46, 50, 53, 58, 70, 87, 94, 99, 103, 111, 128, 140, 149, 177, 190, 198, 205, 227, 264, 284 and 388. Equal temperaments with garibert tetrads include 41, 53, and 94; and it is a characteristic chord of 13-limit <a class="wiki_link" href="/Schismatic%20family#Garibaldi">garibaldi temperament</a>.</body></html>